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In the present work we approximate an ultrarelativistic jet by a homogeneousbeam of null matter with finite width. Then, we study the influence of thisbeam over the space-time metric in the framework of higher-derivative gravity.We find an exact shock wave solution of the quadratic gravity field equationsand compare it with the solution to Einstein's gravity. We show that the effectof higher-curvature gravity becomes negligible at large distances from the beamaxis. We also observe that only the Ricci-squared term contribute to modify theEinstein's gravity prediction. Furthermore, we note that this higher-curvatureterm contribute to regularize the discontinuities associated to the solution toEinstein's general relativity.Comment: 11 pages, 3 figure

A gravitational shock wave generated by a beam of null matter in quadratic gravity